The Effect of Waviness Error on the Power Loss of the Planet Bearing

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TECHNICAL ARTICLE—PEER-REVIEWED

The Effect of Waviness Error on the Power Loss of the Planet Bearing Shenlong Li . Zhifeng Shi . Jing Liu . Zhiqiang Meng

Submitted: 18 November 2019 / in revised form: 6 March 2020 Ó ASM International 2020

Abstract The power loss of planet bearings can affect the energy efficiency of planetary gear transmission systems. Although many works studied the power loss of various planet bearings, the effect of the waviness error on the power loss of the planet bearings was missed. To overcome this problem, an analytical model of the power loss of a planet bearing with the waviness error is proposed. The power loss of the planet bearing caused by the elastic material hysteresis, differential slipping, and lubricating oil viscosity is considered in this model. The results from the proposed model and experiment in the reference are compared to show the model validation. The effects of the pinion bore diameter, input speed, external moment, waviness amplitude, and waviness order on the power loss of the planet bearing are analyzed. It shows that this study can give a useful method to predict the power loss of the planet bearing with and without the waviness error. Moreover, the results can also give some guidance to reduce the power loss and improve the fatigue life of the planet roller bearings.

S. Li China North Vehicle Research Institute, Beijing 100081, People’s Republic of China Z. Shi  J. Liu (&) State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, People’s Republic of China e-mail: [email protected] Z. Shi  J. Liu College of Mechanical Engineering, Chongqing University, Chongqing 400044, People’s Republic of China Z. Meng School of Mechatronics and Automotive Engineering, Chongqing Jiaotong University, Chongqing 400074, People’s Republic of China

Keywords Planet roller bearing  Power loss  Analytical model  Energy efficiency

Introduction Planet bearings are important elements in planetary gear transmission systems due to their high volumetric power and overall efficiency [1–6]. Their power loss can affect the energy efficiency of the transmission systems [7, 8]. The question of energy waste reduction, that is power losses, are truly questions of prevention of given new kind of failures. The energy usage at its right amount is a question of modern equipment, and its reduction or recuperation is surely a way preventing failure. It could be used for improving lifetime but also a point on the energy efficiency is surely important: prevention of energy losses for nothing. The waviness error should be generated during the manufacturing process [9], which can greatly affect the power loss of the planet bearings too. Thus, the power loss analysis of the planet bearings could be useful to reduce the power loss of the transmission systems. Many works were given to study the power loss of different roller bearings. For instance, Palmgren [10] proposed an empirical method for calculating the friction torque of the roller bearings. Trippett [11] studied t